| 一类具有可修故障和不可修故障的两部件并联可修系统的系统主算子的性质 |
| |
| 引用本文： | 金海燕,时秒,张玉峰. 一类具有可修故障和不可修故障的两部件并联可修系统的系统主算子的性质[J]. 数学的实践与认识, 2014, 0(17) |
| |
| 作者姓名： | 金海燕 时秒 张玉峰 |
| |
| 作者单位： | 延边大学师范分院;延边大学理学院数学系; |
| |
| 摘 要： | 研究了一类具有可修故障和不可修故障的两部件并联可修系统.运用C_0半群理论,通过修复率均值的观念,对系统主算子的谱上界进行了估值,并得到该谱上界即为各修复率均值的最小者的相反数.然后运用了共尾的概念及相关的理论,得到了系统主算子的谱上界与系统主算子产生的半群的增长界相等,从而得到其增长界也是各修复率均值的最小者的相反数.
|
| 关 键 词： | 可修系统 不可修系统 C_0半群理论 系统主算子 谱上界 共尾 增长界 |
Properties of the Main Operator of a Class of Two-Unit Parallel Repairable System with Repairable Failures and Non-Repairable Failures |
| |
| Abstract: | We investigate a class of two-unit parallel repairable system with repairable failures and non-repairable failures.Using Co-semigroup theory and the concept of the mean of service rate functions,we estimate the upper spectral bound of the main operator and obtain that its value is the opposite number of the minimum of the mean of service rate functions.Then we show the growth bound of the main operator share the same value with its upper spectral bound by using the concept of cofinal and relative theory. |
| |
| Keywords: | repairable system non-repairable system Co-semigroup theory main operator upper spectral bound cofinal growth bound |
| 本文献已被 CNKI 等数据库收录！ |
